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Finding the Fourth Proportional to 479.60, 661.72 and 302.66

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Solution

The fourth proportional to 479.60, 661.72 and 302.66 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.60 : 661.72 = 302.66 : x
  2. Step 2: Convert to fraction form
    479.60/661.72 = 302.66/x
  3. Step 3: Cross multiply
    479.60x = 661.72 × 302.66
  4. Step 4: Simplify right side
    479.60x = 200,272.11
  5. Step 5: Solve for x
    x = 200,272.11/479.60
  6. Step 6: Final answer
    x = 417.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.